3(t+5)+2(t+10)=

Solution for 3(t+5)+2(t+10)= equation:

Simplifying
3(t + 5) + 2(t + 10) = 0

Reorder the terms:
3(5 + t) + 2(t + 10) = 0
(5 * 3 + t * 3) + 2(t + 10) = 0
(15 + 3t) + 2(t + 10) = 0

Reorder the terms:
15 + 3t + 2(10 + t) = 0
15 + 3t + (10 * 2 + t * 2) = 0
15 + 3t + (20 + 2t) = 0

Reorder the terms:
15 + 20 + 3t + 2t = 0

Combine like terms: 15 + 20 = 35
35 + 3t + 2t = 0

Combine like terms: 3t + 2t = 5t
35 + 5t = 0

Solving
35 + 5t = 0

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-35' to each side of the equation.
35 + -35 + 5t = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 5t = 0 + -35
5t = 0 + -35

Combine like terms: 0 + -35 = -35
5t = -35

Divide each side by '5'.
t = -7

Simplifying
t = -7